Activity 7 Data

Section 1

Pop Secret Act II Proportions Test
Statistic
p-value 95% Conf Int Decision
Pop Total Pop Total P.S. Act II Pooled Diff lower upper
195 196 360 387 0.9949 0.9302 0.9520 0.0647 3.450 0.000561 0.037395 0.091936 Reject
180 186 349 369 0.9677 0.9458 0.9532 0.0219 1.155 0.248194 -0.012385 0.056270 Retain
179 185 358 383 0.9676 0.9347 0.9454 0.0328 1.615 0.106355 -0.002705 0.068388 Retain
159 185 389 408 0.8595 0.9534 0.9241 -0.0940 -4.004 0.000062 -0.148066 -0.039878 Reject
173 188 337 374 0.9202 0.9011 0.9075 0.0191 0.739 0.459941 -0.030008 0.068295 Retain

Explanation

In this activity, each student popped two bags of microwave popcorn using the same microwave. Each row in the table represents the results of one student. One of the brands was Pop Secret and the second brand was Act II. Students flipped a coin and to determine which brand popcorn would be popped first.

A hypothesis test was then performed to see if there was a difference in the proportion of kernels that popped. The null hypothesis was H0: p1 = p2, where sample 1 was Pop Secret and sample 2 was Act II.

Summary Results

This table shows which brand had a higher pop rate.

Brand Statistical Tie Pop Secret Act II Total
Count 3 1 1 5
Percent 60.0% 20.0% 20.0% 100.0%